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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 105(147), Number 4, Pages 512–524 (Mi sm2537)

This article is cited in 78 papers

On Markov's theorem for multipoint Padé approximants

A. A. Gonchar, G. López Lagomasino


Abstract: We study the degree of convergence of interpolating sequences of rational functions (with free poles) for functions of the form $\widehat\mu=\mu*\frac1z$, where $\mu$ is a positive measure with compact support on the real line.
Bibliography: 11 titles.

UDC: 517.53

MSC: 30E10

Received: 17.11.1977


 English version:
Mathematics of the USSR-Sbornik, 1978, 34:4, 449–459

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